19348800480 has 240 divisors, whose sum is σ = 71880011280. Its totient is φ = 4888055808.

The previous prime is 19348800473. The next prime is 19348800481. The reversal of 19348800480 is 8400884391.

19348800480 is a `hidden beast` number, since 1 + 93 + 4 + 8 + 80 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19348800481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206952 + ... + 285528.

It is an arithmetic number, because the mean of its divisors is an integer number (299500047).

Almost surely, 2^19348800480 is an apocalyptic number.

19348800480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19348800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35940005640).

19348800480 is an abundant number, since it is smaller than the sum of its proper divisors (52531210800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19348800480 is a wasteful number, since it uses less digits than its factorization.

19348800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78623 (or 78606 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 19348800480 in words is "nineteen billion, three hundred forty-eight million, eight hundred thousand, four hundred eighty".